Ebook: Algebraic Topology: New Trends in Localization and Periodicity: Barcelona Conference on Algebraic Topology, Sant Feliu de Guíxols, Spain, June 1–7, 1994

Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guíxols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.

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Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Gu?xols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.

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Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Gu?xols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.
Content:
Front Matter....Pages i-xii
On the Nilpotency of Subgroups of Self-Homotopy Equivalences....Pages 1-22
Linear group homology properties of the inclusion of a ring of integers into a number field....Pages 23-31
Unstable localization and periodicity....Pages 33-50
Manifolds with Highly Connected Universal Covers....Pages 51-59
Hochschild and cyclic homology of an almost commutative cochain algebra associated to a nilmanifold....Pages 61-68
Closed Classes....Pages 69-93
On mapping class groups from a homotopy theoretic point of view....Pages 95-118
Representations of the Homology of BV and the Steenrod Algebra II....Pages 119-142
Polynomial structures for iterated central extensions of abelian-by-nilpotent groups....Pages 143-154
The Yagita invariant of general linear groups....Pages 155-166
Fibrewise complexes....Pages 167-184
A note on the thick subcategory theorem....Pages 185-192
Periodicity of Geometric Dimension for Real Projective Spaces....Pages 193-199
Tor et Ext-dimensions des H*V - A-modules instables qui sont de type fini comme H*V-modules....Pages 201-207
A bound on the exponent of the cohomology of BC-bundles....Pages 209-222
A Counter-example to a Conjecture of Cohen....Pages 223-234
The complete Steenrod algebra and the generalized Dickson algebra....Pages 235-240
On the localization genus of a space....Pages 241-253
Extensions of p-compact Groups....Pages 255-259
On the cohomology of configuration spaces....Pages 261-269
On isomorphism classes of locally unitary groups....Pages 271-284
Localization and genus in group theory and homotopy theory....Pages 285-306
On the connectivity of posets in the mapping class group....Pages 307-327
Back Matter....Pages 329-335
....Pages 337-352